GCD of 742, 929, 30, 360 Calculator

Given Input numbers are 742, 929, 30, 360

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 742, 929, 30, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 929, 30, 360 is 1.

Therefore, GCD of numbers 742, 929, 30, 360 is 1

Given Input Data is 742, 929, 30, 360

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 929 is 929

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(742, 929) = 689318

GCD(742, 929) = ( 742 x 929 ) / 689318

GCD(742, 929) = 689318 / 689318

GCD(742, 929) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 742, 929, 30, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 961, 954, 26, 731
• GCD of 232, 139, 54, 523
• GCD of 333, 750, 34, 382
• GCD of 364, 481, 53, 135
• GCD of 267, 261, 50, 849

1. What is the GCD of 742, 929, 30, 360?

GCD of 742, 929, 30, 360 is 1

2. Where do I get the detailed procedure to find GCD of 742, 929, 30, 360?

You can find a detailed procedure to find GCD of 742, 929, 30, 360 on our page.

3. How to find GCD of 742, 929, 30, 360 on a calculator?

You can find the GCD of 742, 929, 30, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.